Introduction to Heights
نویسنده
چکیده
Notes for a talk in Stanford’s Arithmetic Dynamics Seminar, Apr. 29, 2014. This talk is an introduction to the theory of heights on projective varieties over local and global fields. I will also say something about canonical heights for a dynamical system, and a local-global formula for these. This material is from Chapters 1-2 of the book by Bombieri and Gubler on heights [BG]; also Silverman’s book The Arithmetic of Dynamical Systems, 3.1 3.5 and 5.9 [Si]. There is also a chapter on heights in Silverman’s Advanced Topics in the Arithmetic of Elliptic Curves [Si2].
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